home	news	specification			documentation	implementation
foreword	milestones	version 2	(background - core - applications)		version 2	helena	Open Symbolic Notation (OSN)
citations	visibility	version 1	(background - core)	(static HELM directory)	version 1	library	(static LDDL directory)

Here is a numerical account of the specification's contents and its timeline.

category	objects
sizes	files	102	characters	142397	nodes	328868
propositions	theorems	41	lemmas	678	total	719
concepts	declared	65	defined	70	total	135

This table reports the specification's components and their planes.

component

plane

files

generic rt-transition counter

rtc ( 〈?,?,?,?〉 ) ( 𝟘𝟘 ) ( 𝟙𝟘 ) ( 𝟘𝟙 )

rtc_isrc ( 𝐑𝐓⦃?, ?⦄ )

rtc_shift ( ↓? )

rtc_max ( ? ∨ ? )

rtc_plus ( ? + ? )

multiple relocation

rtmap

rtmap_eq ( ? ≗ ? )

rtmap_pushs ( ↑*[?]? )

rtmap_nexts ( ⫯*[?]? )

rtmap_tl ( ⫱? )

rtmap_tls ( ⫱*[?]? )

rtmap_isid ( 𝐈⦃?⦄ )

rtmap_id

rtmap_isdiv ( 𝛀⦃?⦄ )

rtmap_fcla ( 𝐂⦃?⦄ ≡ ? )

rtmap_isfin ( 𝐅⦃?⦄ )

rtmap_isuni ( 𝐔⦃?⦄ )

rtmap_uni ( 𝐔❴?❵ )

rtmap_sle ( ? ⊆ ? )

rtmap_sand ( ? ⋒ ? ≡ ? )

rtmap_sor ( ? ⋓ ? ≡ ? )

rtmap_at ( @⦃?,?⦄ ≡ ? )

rtmap_istot ( 𝐓⦃?⦄ )

rtmap_after ( ? ⊚ ? ≡ ? )

rtmap_coafter ( ? ~⊚ ? ≡ ? )

nstream ( ↑? ) ( ⫯? )

nstream_eq

nstream_isid

nstream_id ( 𝐈𝐝 )

nstream_sor

nstream_istot ( ?@❴?❵ )

nstream_after ( ? ∘ ? )

nstream_coafter ( ? ~∘ ? )

mr2

mr2_at ( @⦃?,?⦄ ≡ ? )

mr2_plus ( ? + ? )

mr2_minus ( ? ▭ ? ≡ ? )

natural numbers with infinity

ynat ( ∞ )

ynat_pred ( ⫰? )

ynat_succ ( ⫯? )

ynat_le ( ? ≤ ? )

ynat_lt ( ? < ? )

ynat_plus ( ? + ? )

extensions to the library

stream ( ? @ ? )

stream_eq ( ? ≐ ? )

stream_hdtl ( ↓? )

stream_tls ( ↓*[?]? )

list ( ◊ ) ( ? @ ? ) ( |?| )

list2 ( ◊ ) ( {?,?} @ ? ) ( ? @@ ? ) ( |?| )

bool ( Ⓕ ) ( Ⓣ )

arith ( ?^? ) ( ⫯? ) ( ⫰? ) ( ? ∨ ? ) ( ? ∧ ? )

relations

star

lstar

generated logical decomposables

xoa ( ∃∃ ) ( ∨∨ ) ( ∧∧ )

xoa_props ( ⊥ ) ( ⊤ )